Chapter 698: A Challenge from the World's Top Mathematicians!

As Feverman thought, at this moment, Arxiv has been directly paralyzed.

Just as Xu Chuan hung the paper in his hand on Arxiv, in less than an hour, the arxiv preprint website was directly paralyzed by the huge traffic that swarmed from all over the world.

Although judging from the time when the Riemann conjecture was proposed, it has only been more than 160 years since Bonhard Riemann proposed it in 1859, which is not the longest among the many conjectures in the mathematical community, and there are more conjectures that are older than it.

For example, Goldbach's conjecture was proposed as early as 1742, and it has been nearly 300 years since then, but it has still not been solved.

But in the world of mathematics in the 21st century, if there is any mathematical conjecture that has the greatest influence on mathematics, it is undoubtedly the Riemann conjecture!

The research around it has greatly promoted the development of analytic number theory and algebraic number theory, and a series of important problems and conjectures in the fields of function theory and number theory also directly depend on the solution of the Riemann conjecture.

Not only that, but there are more than 2,000 formulas linked to this that are waiting to be 'sublimated' or 'fallen' together.

It can be said that after Xu Chuan hung the paper in his hand on the arxiv preprint website, the attention of the entire mathematical community was almost attracted.

At the same time, at the famous international mathematical forum MathoverFlow, the discussion about this matter has exploded.

【arxiv！ That Professor Xu from Huaguo, he uploaded a proof paper on the Riemann conjecture! 】

【WTF？ What's the situation? 】

[Look at the fart, arxiv hangs up again.] 】

[Ask for papers!] Is there any big guy who has downloaded the paper?,Please! 】

[Don't beg for it, you won't be able to understand it. 】

[Shrimp pig heart, but this will download the paper is estimated to be gnawing on the paper, wait for arxiv to recover.] 】

[If I'm not mistaken, this is the first scholar to claim to have made a major breakthrough in the Riemann conjecture?] From Nigerian professor Pheasant Professor Opayemi Enoch, to Sir Michael Attia, from Minko to Filipino Prize winners, there are too many, and the result? Not once was successful. 】

[This time is different, this time it is the famous Professor Xu who publishes the paper!] There is nothing wrong with his paper published on arxiv! 】

[But can he guarantee that he will not make mistakes for the rest of his life?] Impossible! The Riemann conjecture is too difficult, let alone proven, even a little breakthrough on this is enough for you to win the Fields Medal, and the method of the critical zone is only now able to break through No(T)>0.35N(T), which is still the result of the last century. 】

[I remember that there was a mathematician who extended to No(T)>0.4N(T)?] 】

[It is only a public paper, and it has not been fully certified by the mathematical community.] 】

[Ahem, you are mistaken, Professor Xu is not advertising himself as proving the Riemann conjecture this time, the paper he sent out seems to be looking for another way to shrink the critical zone. 】

【. 】

On the MathoverFlow math forum, the discussion was extremely intense.

There are those who believe, there are those who doubt, and there are also well-known mathematicians such as Tao Zhexuan.

The existence of the Riemann conjecture is extremely rare in the mathematical community.

A mathematical conjecture is closely related to the fate of more than 2,000 mathematical propositions, and it is like an apple tree growing in heaven, covered with all kinds of red fruits.

But the world of mathematics is in the world, and its existence can only be said to be unattainable.

Of course, although the efforts of mathematicians to climb the majestic mountain of the Riemann conjecture for a century and a half have so far been unsuccessful, there have been many results as a result.

For example, the most famous prime number theorem is derived from this.

This is also one of the reasons why countless people have discussed, and the difficulty of solving it is too great and too great.

Countless people have tried, but none of them have succeeded.

The heated discussion does not only happen at the International Mathematics Forum, aside from those netizens who are talking about eating melons on the forum and the Internet, there is no one who cares about this matter more than the mathematics community itself.

It can be said that there are scholars who have obtained first-hand papers, and they are now concentrating on research and reading.

University of California, Los Angeles, California.

Tao Zhexuan has put off all of today's itinerary and is sitting in his home reading the paper that Xu Chuan sent him by email.

Unlike others who downloaded it on Arxiv's preprint website, he was arguably tied for second person to receive the paper, along with Deligne.

At this moment, he was very glad that he had heard the news that Xu Chuan was studying Riemann's conjecture before, and he made a special phone call to understand the situation and asked for a first-hand paper.

Otherwise, with the time difference between the United States and Huaguo, by the time he knew, I am afraid that Arxiv would be paralyzed.

Pushing his glasses, Tao Zhexuan immersed himself in the paper in his hand.

The more than 100-page proof paper was not a simple task for him to fully understand, and it took him nearly two days to read the paper thoroughly after two days of classes and activities.

"It's kind of interesting, it seems like a path that few people have studied."

"Instead of looking at how to further compress the critical zone, or to choose the most difficult to break through the right-boundary-left translation route, he retracted it back to the Jensen inequality, and then studied it through the sub-Sigma algebra."

"Is this a regression π (x) prime number counting function?"

Staring at the last paper in his hand, Tao Zhexuan muttered to himself.

At first, he thought it was a proof of the Riemann conjecture, but after seeing some of the content and title of the email, he found that it was not, but related to the weak Riemann conjecture. Later, when the paper was printed out and read, he realized that the paper in his hand was prepared to solve the weak Riemann conjecture.

However, it is not so much a tool as a comprehensive proof paper.

Because in this paper, he saw a lot of problems and directions that have not been broken through in the mathematical world, and gave answers in it.

Although these puzzles are not very well-known, their influence is not small in their respective fields.

For example, the inverse integral transformation is difficult to converge at the jump of the π(x) function, and when it is solved, the Fourier transform function will be raised to a whole new level.

Although Professor Xu did not continue to expand in the paper, with his vision, he could naturally see the hidden scope of advancement behind it.

Putting the paper in his hand on the table, Tao Zhexuan took off his glasses from the bridge of his nose, gently rubbed his somewhat astringent eyes, closed his eyes and thought about it.

In fact, judging from the paper, Professor Xu has not yet solved the weak Riemann conjecture. But he gives a tool, or a path, to the answer.

For a top mathematician, especially a mathematician with research in the field of analytic number theory, facing this paper is undoubtedly like a strong man who has been hungry for three days and sees a big cake in front of him.

Instinct drove them to take the tool and follow the path to find the weak Riemann conjecture and solve it.

Tao Zhexuan didn't quite understand why he had pushed the progress to this point, and didn't first solve the weak Riemann conjecture before sending it out together.

Isn't he really worried that others will use the results of his work to solve this problem first?

Is he really that confident in himself?

Not the slightest fear that others might go ahead of him and take away from him this share of the glory that must have belonged to him?

Or does he not really care about these things anymore?

After all, as a scholar who has solved the problem of the three millennials, perhaps the weak Riemann conjecture is just that for him.

After pondering for a while, Tao Zhexuan reopened his eyes, pursed the corners of his mouth and took a deep breath.

Whatever Professor Xu thought, he wanted to give it a try.

Try to use this tool to make a breakthrough in the weak Riemann conjecture, and go down this road to give it a try.

He would not go and did not bother to fight for such an honor.

But!

A competition with Xu Chuan to see who can solve this problem first is what he cares about.

Tao Zhexuan knows very well that he must be a disadvantage on this road, because this tool and this path were proposed by Xu Chuan, and there is no doubt that the founder will have a deeper understanding.

But he wanted to see who could solve the problem first. I also want to see how big the gap between the two is.

After all, there is no genius who is not proud!

At the same time, the other side.

At Princeton University, in Pierre Deligne's office, Edward Witten and Charles Feverman were together.

Thanks to Professor Deligne's prompting, both Witten and Feverman downloaded the paper from arxiv and printed it out as soon as possible.

"Are you saying that Xu Chuan talked to you about this idea before?"

In the office, Witten looked at Deligne in surprise, holding a cup of coffee in his hand.

Deligne nodded, and said, "About a month ago, he asked me for some manuscripts and papers of Mr. Grothendieck, and we talked about some things about it. ”

Hearing this, Feverman looked over with some surprise and asked in surprise, "You mean that this result was made by him in the last month?" ”

Deligne: "That's probably not the case, I think he should have had an idea for a long time on the research of the Riemann hypothesis, maybe he has been studying it intermittently in his daily life, maybe he has only recently determined the idea and direction." ”

Listening to this explanation, Feverman understood a lot.

It is hard for him to believe that such a 'shocking' result was made within a month.

However, it is normal for scholars like them to have studied some well-known conjectures on a daily basis.

For example, the seven millennial problems are there, and scholars in this field, whether they are in the field or not, can be said to have seen and studied these conjectures.

Of course, it's one thing to have seen and researched, but it's another thing to find ideas and methods.

"Speaking of which, he has even perfected the tools and ideas, why not prove the weak Riemann conjecture together and publish it?"

After chatting for a while, Feverman suddenly looked at Deligne and asked curiously.

Deligne thought for a moment, shook his head and replied, "I don't know, maybe I can't wait?" Want to share this joy with us? ”

Peverman smiled and said, "Old friend, I just got some news from Tao Zhexuan, I don't know if you're interested?" ”

"What?"

Feverman said with interest: "Use Professor Xu's tools and ideas, continue to follow his ideas, and do a study on the weak Riemann conjecture and the Riemann conjecture to see if we can solve this problem before him!" ”

Hearing this, Deligne frowned slightly, glanced at him, and said, "Is this good?" ”

Hearing this, Peverman hurriedly shook his head and smiled: "No, no, no, we don't mean what you think, we just want to try it and see if we can walk in front of him." ”

After a slight pause, he continued, "Or rather, I want to have a not so equal competition with him." Tao has already found some friends, whether it can be made or not, we just want to see the speed and insights of everyone in this area, maybe it will bring us some other ideas or results. ”

"Isn't that interesting?"

"Do you want to be together?"

PS: Three more ask for a monthly pass!